Question

The surface area of cuboid is 1372 sq.cm. If its dimensions in the ration 4:2:1,then what is its length

Answer 1

therefore the length of the cuboid is 392cm

Answer 2

Answer:

28 m

Step-by-step explanation:

Dimensions of cuboid  is in ratio 4:2:1

Let the ratio be x

So, length = 4x

Breadth = 2x

Height = x

Surface area of cuboid = 2(lb+bh+hl)

                                      =2(4x*2x+2x*x+x*4x)

                                     $=2(8x^2+2x^2+4x^2)$

                                     $=2(14x^2)$

                                     $=28x^2$

Since we are given that The surface area of cuboid is 1372 sq.cm.

So,   $1372=28x^2$

$49=x^2$

$7=x$

So, length = 48x=4*7=28 m

Hence the length is 28 m